Coderivatives of efficient point multifunctions in parametric vector optimization

DOI10.11650/twjm/1500405608zbMath1192.49027OpenAlexW1884296468MaRDI QIDQ981888

Jen-Chih Yao, Thai Doan Chuong

Publication date: 9 July 2010

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405608

zbMATH Keywords

sensitivity analysisFréchet normal coneefficient point multifunctionparametric vector optimizationFréchet coderivative

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50)

Related Items (13)

On higher-order proto-differentiability and higher-order asymptotic proto-differentiability of weak perturbation maps in parametric vector optimization ⋮ Normal subdifferentials of efficient point multifunctions in parametric vector optimization ⋮ Continuity of second-order contingent derivative of the efficient set map for parametrized multiobjective optimization ⋮ Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization ⋮ Variational sets and asymptotic variational sets of proper perturbation map in parametric vector optimization ⋮ Generalized higher-order semi-derivative of the perturbation maps in vector optimization ⋮ Derivatives of the efficient point multifunction in parametric vector optimization problems ⋮ Sensitivity Analysis of Multiobjective Optimization Problems with Parameterized Quasi-Variational Inequalities ⋮ Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems ⋮ Second-order contingent derivative of the perturbation map in multiobjective optimization ⋮ Generalized second-order contingent epiderivatives in parametric vector optimization problems ⋮ Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization ⋮ On generalized second-order proto-differentiability of the benson proper perturbation maps in parametric vector optimization problems

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